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Shock and Vibration
Volume 2017, Article ID 8398673, 9 pages
https://doi.org/10.1155/2017/8398673
Research Article

Modelling of Generalised Thermoelastic Wave Propagation of Multilayer Material under Thermal Shock Behaviour

1National Center for International Joint Research of Micro-Nano Moulding Technology, School of Mechanics and Engineering Science of Zhengzhou University, Zhengzhou 450001, China
2The State Key Laboratory for Structural Analysis of Industrial Equipment, Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116024, China
3School of Mechanics and Engineering Science, Zhengzhou University, Zhengzhou 450001, China

Correspondence should be addressed to Wen-Hua Wu; nc.ude.tuld@auhuyxl

Received 2 May 2017; Accepted 6 July 2017; Published 11 September 2017

Academic Editor: Tai Thai

Copyright © 2017 Pan Guo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper describes a time-discontinuous Galerkin finite element method (DGFEM-) for the generalised thermoelastic problem of multilayer materials subjected to a transient high-frequency heat source. The governing and constitutive relations are presented on the basis of the well-known Lord–Shulman (L–S) theory. A DGFEM- method is developed to allow the general temperature-displacement vector and its temporal gradient to be discontinuous at a fixed time . A stiffness proportional artificial damping term is added to the final DG discretisation form to filter out the spurious numerical oscillations in the wave-after stage and at adjacent-layer interfaces. The numerical results show that the present DGFEM- provides much more accurate solutions for generalised thermoelastic coupled behaviour of multilayer structures. Compared with widely used traditional numerical methods (e.g., the Newmark method), the present DGFEM- can effectively capture the discontinuities behaviours of impulsive waves in space in the simulation of high modes and sharp gradients.